Mathematics – Algebraic Geometry
Scientific paper
2011-05-10
Mathematics
Algebraic Geometry
16 pages. The former Appendix A, which claimed to show that Kuroda's example works over finite fields, contained a major error
Scientific paper
We interpret a counterexample to Hilbert's 14th problem by S. Kuroda geometrically in two ways: As ring of regular functions on a smooth rational quasiprojective variety over any field K of characteristic 0, and, in the special case where K are the real numbers R, as the ring of bounded polynomials on a regular semialgebraic subset of R^3. One motivation for this was to find a regular semialgebraic subset of a real vectorspace, such that the ring of bounded polynomials on it is not finitely generated as an R-algebra. In an appendix we prove some general properties of rings of bounded polynomials on regular semialgebraic subsets of normal R-varieties.
No associations
LandOfFree
Geometric interpretations of a counterexample to Hilbert's 14th problem, and rings of bounded polynomials on semialgebraic sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Geometric interpretations of a counterexample to Hilbert's 14th problem, and rings of bounded polynomials on semialgebraic sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric interpretations of a counterexample to Hilbert's 14th problem, and rings of bounded polynomials on semialgebraic sets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-280803